Alright, let's solve this problem step by step. We have 9975 and 2161 and we're adding them together.

Step 1: We'll start by adding the digits 5 & 1 in column 1 and get 6.

Step 2: We'll start by adding the digits 7 & 6 in column 2 and get 13.
We'll write down the last digit 3 and carry the 1 to the next column.

Step 3: We'll start by adding the digits 9 & 1 in column 3 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 9 & 2 in column 4 and get 12.
We'll write down the last digit 2 and carry the 1 to the next column.

So, 9975 + 2161 = 12136.

